Solve for all values of x : 4x(2x-3)+9(2x-3)=0 Answer: x=

Factor out common term: Factor out the common term (2x-3). 4x(2x-3) + 9(2x-3) = (2x-3)(4x+9) = 0Set equal to zero: Set each factor equal to zero to find the values of x. First, set the first factor equal to zero: 2x - 3 = 0Solve for x: Solve for x from the first factor. 2x - 3 = 0 Add 3 to both sides: 2x = 3 Divide by 2: x = 3/2Set second factor: Set the second factor equal to zero: 4x + 9 = 0Solve for x: Solve for x from the second factor. 4x + 9 = 0 Subtract 9 from both sides: 4x = -9 Divide by 4: x = -9/4

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Solve for all values of
x :

4x(2x-3)+9(2x-3)=0
Answer:
x=

Solve for all values of $x$ : $\newline$ $4 x(2 x-3)+9(2 x-3)=0$ $\newline$ Answer: $x=$

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Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for all values of

x

\newline

4 x(2 x-3)+9(2 x-3)=0

\newline

Answer:

x=

Factor out common term: Factor out the common term $(2x-3)$ . $4x(2x-3) + 9(2x-3) = (2x-3)(4x+9) = 0$
Set equal to zero: Set each factor equal to zero to find the values of $x$ . First, set the first factor equal to zero: $2x - 3 = 0$
Solve for x: Solve for x from the first factor. $\newline$ $2x - 3 = 0$ $\newline$ Add $3$ to both sides: $\newline$ $2x = 3$ $\newline$ Divide by $2$ : $\newline$ $x = \frac{3}{2}$
Set second factor: Set the second factor equal to zero: $\newline$ $4x + 9 = 0$
Solve for x: Solve for x from the second factor. $\newline$ $4x + 9 = 0$ $\newline$ Subtract $9$ from both sides: $\newline$ $4x = -9$ $\newline$ Divide by $4$ : $\newline$ $x = -\frac{9}{4}$